| Euclid - 1826 - 236 pages
...being infinitely produced either way, do not meet one another.* POSTULATES. 1. Grant, that a right **line may be drawn from any one point to any other point.** 2. That a finite right line may be produced directly forwards. 3. That a circle may be described with... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...being produced ever so far both ways, do not meet. POSTULATES. I. L.et it be granted that a straight **line may be drawn from any one point to any other point.** If. That a terminated straight line may be produced to any length in a straight line. III. And that... | |
| Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 544 pages
...to attend to the latter criterion of parallelism. POSTULATES. (39) I. Let it be granted that a right **line may be drawn from any one point to any other point.** (40) II. Let it be granted that a finite right line may be produced to any length in a right line.... | |
| John Playfair - Geometry - 1829 - 210 pages
...of rectilineal angles, is called Plane Geometry. POSTULATES. 1. LET it be !granted that a straight **line may be drawn from any one point to any other point.** 2. That a terminated straight line may be produced to any length in a straight line. 3. That a circle... | |
| Timothy Walker - Geometry - 1829 - 156 pages
...self-evident. These cases are called postulates, and are the following : 1. Let it be granted that a straight **line may be drawn from any one point to any other point.** 2. Let it be granted that a terminated straight line may be produced to any length in a straight line.... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...for a plane, with a pen,* a ruler, and a pair of compasses, it is evident, that, first, a straight **line may be drawn from any one point to any other point** ; 2ndly, a terminated straight line may be produced to any length in a straight line ; 3dly, from the... | |
| Mathematics - 1835 - 684 pages
...for a plane, •with a pen,* a ruler, and a pair of compasses, it is evident, that, first, a straight **line may be drawn from any one point to any other point** ; 2ndly, a terminated straight line may be produced to any length in a straight line ; 3dly, from the... | |
| Euclid - 1835 - 540 pages
...being produced ever so far both ways, do not meet. POSTULATES. I. LET it be granted that a straight **line may be drawn from any one point to any other point.** II. That a terminated straight line may be produced to any length in a straight line. III. And that... | |
| Euclid, James Thomson - Geometry - 1837 - 410 pages
...angles which are together equal to two right angles. POSTULATES.* 1. Let it be granted, that a straight **line may be drawn from any one point, to any other point** :.). writers rather improperly use urcb) and chord receive their names from the bow (in Latin arcvs),... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...being produced eyer i so far both ways, do not meet. POSTULATES. 1. Let it be granted that a straight- **line may be drawn from any one point to any other point.** 3. And that a circle may be described from any centre, and with any radius. AXIOMS. 1. Things which... | |
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